Or you could look at the prime factorization of both of these numbers.

In particular, they have the factor 3 in common.

Add prime factor 2.

Add prime factor 3.

Add prime factor 5.

Add prime factor 7.

Add prime factor 11.

Add prime factor 13.

Add prime factor 17.

Add prime factor 19.

So we have a common factor in the numerator and the denonminator.

So what is 20u squared v if we factor it out?

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This we know as 'factorization.'

So let's just draw a water molecule. So you have oxygen there.

Now let's try printing that out, and we see the list containing 4 elements.

And then we can say that 10 is the same thing as 2 times 5. Both two and 5 are prime, so we are done factoring it.

And then 4 is the same thing as 2 2.

2x minus 3 times x plus b. b is minus 1.

We might say something like water has two parts hydrogen and one parts oxygen, right?

Pretty much every whole number or every integer has the common factor of one.

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Sal Very, very interesting.

The reason why I wrote the 8x first is because the 8 shares common factors with the 2, so maybe we can factor out a 2x here.

So it is not prime, technically, because it only has 1 as a factor it does not have two factors.

Factorization

So it gets down to the brain.

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So now that we know what a prime is, a prime factorization is breaking up a number, like 75, into a product of prime numbers.

And the easiest way to simplify this would see if we could factor the numerator and the denominator expressions into maybe simpler expressions.

We can use a factor tree to break 42 into its prime factorization.

Then the factors of twelve?

160 bit prime factor

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Removes the last entered prime factor.

Another way you could think about it is 4, if you do a prime factorization, is 2 times 2.

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That's f of x, right?

So the prime factorization of 105 is equal to, if I write them in increasing order, 3  amp times  5  amp times  7

And then if they form a bond, they share this.

So that's the carbon nucleus in the center and then you have the hydrogens, so that's our carbon right there.

And that kind of makes sense because a prime number is something that only has one and itself as a factor.

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